Data Set 31 "Garbage Weight" in Appendix B lists weights (lb) of plastic discarded by households. The highest weight is 5.28 lb, the mean of all of the weights is x̅ = 1.911 lb, and the standard deviation of the weights is s = 1.065 lb.
a. What is the difference between the weight of 5.28 lb and the mean of the weights?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the weight of 5.28 lb to a z score.
d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.28 lb significant?
Express all z scores with two decimal places.